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Finding the Fourth Proportional to 165,432.58, 228,114.60 and 114,356.64

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Solution

The fourth proportional to 165,432.58, 228,114.60 and 114,356.64 is: 157,686.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,432.58 : 228,114.60 = 114,356.64 : x
  2. Step 2: Convert to fraction form
    165,432.58/228,114.60 = 114,356.64/x
  3. Step 3: Cross multiply
    165,432.58x = 228,114.60 × 114,356.64
  4. Step 4: Simplify right side
    165,432.58x = 26,086,419,617.54
  5. Step 5: Solve for x
    x = 26,086,419,617.54/165,432.58
  6. Step 6: Final answer
    x = 157,686.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.